Question

An arrow is shot into the air and its height in feet after tt seconds is given by the function f(t)=−16t2+96tf(t)=−16t2+96t. Estimate the instantaneous velocity at t=2t=2 seconds using difference quotients with h=0.1h=0.1, 0.010.01, and 0.0010.001. If necessary, round the difference quotients to no less than six decimal places and round your final answer to the nearest integer.

Name: an arrow is shot into the air and its height in feet after tt seconds is given by the function ft16t296tft16t296t estimate the instantaneous velocity at t2t2 seconds using difference quotien 93333
Uploaded: 2022-09-18T23:30:57-08:00
Duration: 6 min 16 s
Channel: Zhumagali Shomanov
Description: an arrow is shot into the air and its height in feet after tt seconds is given by the function ft16t296tft16t296t estimate the instantaneous velocity at t2t2 seconds using difference quotien 93333

          An arrow is shot into the air and its height in feet
after tt seconds is given by the
function f(t)=−16t2+96tf(t)=−16t2+96t. Estimate the
instantaneous velocity at t=2t=2 seconds using difference
quotients with h=0.1h=0.1, 0.010.01, and 0.0010.001.
If necessary, round the difference quotients to no less than six
decimal places and round your final answer to the nearest
integer.

Added by Nieves R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

09/18/2022

Step 1

Plugging in t = 2+h into the function, we get: f(2+h) = -16(2+h)^2 + 96(2+h) f(2+h) = -16(4 + 4h + h^2) + 192 + 96h f(2+h) = -64 - 64h - 16h^2 + 192 + 96h f(2+h) = -16h^2 + 32h + 128 Show more…

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An arrow is shot into the air and its height in feet after tt seconds is given by the function f(t)=−16t2+96tf(t)=−16t2+96t. Estimate the instantaneous velocity at t=2t=2 seconds using difference quotients with h=0.1h=0.1, 0.010.01, and 0.0010.001. If necessary, round the difference quotients to no less than six decimal places and round your final answer to the nearest integer.